Mathematics (2019) Grade(s): 4

MA19.4.16

Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.

Unpacked Content

Knowledge

Students know:
  • Models or equations to represent multiplication situations.
  • The fraction a/b is equivalent to the unit fraction 1/b being iterated or "copied" the number of times indicated by the numerator, a.

Skills

Students are able to:
  • Model and explain how a non-unit fraction can be expressed as multiplication.
  • Multiply a whole number times any fraction less than one.
  • Solve word problems involving a whole number times a fraction using a visual fraction model and equation to represent the problem.

Understanding

Students understand that:
  • Previous work involving multiplication with whole numbers can be extended to fractions in showing multiplication as putting together equal-sized fractional groups.
  • Problem solving situations involving multiplication of a whole number times a fraction can be solved using a variety of strategies, models, and representations.

Vocabulary

  • Whole number
  • Fraction
  • Non-unit fraction
  • Unit fraction
  • Fraction less than one
  • Fraction greater than one
  • Visual fraction model
  • Equation
  • Decompose
  • Recompose
  • Compose
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